summary:We give a formulation of certain types of mechanical systems using the structure of groupoid of the tangent and cotangent bundles to the configuration manifold $M$; the set of units is the zero section identified with the manifold $M$. We study the Legendre transformation on Lie algebroids
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field the...
Abstract. A geometric description of Lagrangian Mechanics on Lie algebroids is developed in a parall...
AbstractWe introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we sh...
summary:We give a formulation of certain types of mechanical systems using the structure of groupoid...
The tangent bundle on a smooth manifold is, in a sense, sufficient structure for Lagrangian mechani...
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian systems on...
summary:The discourse begins with a definition of a Lie algebroid which is a vector bundle $p : A \t...
The study of mechanical systems on Lie algebroids permits an understanding of the dynamics described...
summary:The discourse begins with a definition of a Lie algebroid which is a vector bundle $p : A \t...
Abstract. A geometric description of Lagrangian and Hamiltonian Mechan-ics on Lie algebroids is deve...
Abstract. In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics...
International audienceWe observe that a system of irreducible, fiber-linear, first-class constraints...
International audienceWe observe that a system of irreducible, fiber-linear, first-class constraints...
Algébröıdes de Lie et algébröıdes de Courant dans le formalisme lagrangien Apr̀s un expose ́ de ...
We construct an infinite dimensional Lie rackoid Y which hosts an integration of the standard Couran...
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field the...
Abstract. A geometric description of Lagrangian Mechanics on Lie algebroids is developed in a parall...
AbstractWe introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we sh...
summary:We give a formulation of certain types of mechanical systems using the structure of groupoid...
The tangent bundle on a smooth manifold is, in a sense, sufficient structure for Lagrangian mechani...
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian systems on...
summary:The discourse begins with a definition of a Lie algebroid which is a vector bundle $p : A \t...
The study of mechanical systems on Lie algebroids permits an understanding of the dynamics described...
summary:The discourse begins with a definition of a Lie algebroid which is a vector bundle $p : A \t...
Abstract. A geometric description of Lagrangian and Hamiltonian Mechan-ics on Lie algebroids is deve...
Abstract. In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics...
International audienceWe observe that a system of irreducible, fiber-linear, first-class constraints...
International audienceWe observe that a system of irreducible, fiber-linear, first-class constraints...
Algébröıdes de Lie et algébröıdes de Courant dans le formalisme lagrangien Apr̀s un expose ́ de ...
We construct an infinite dimensional Lie rackoid Y which hosts an integration of the standard Couran...
In this paper we introduce a geometric description of Lagrangian and Hamiltonian classical field the...
Abstract. A geometric description of Lagrangian Mechanics on Lie algebroids is developed in a parall...
AbstractWe introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we sh...